The book is devoted to the structural analysis of vector and random
(or both) valued countably additive measures, and used for integral
representations of random fields. The spaces can be Banach or
Frechet types. Special attention is given to Bochner's boundedness
principle and Grothendieck's representation unifying and
simplyfying stochastic integrations. Several stationary aspects,
extensions and random currents as well as related multilinear forms
are analyzed, whilst numerous new procedures and results are
included, and many research areas are opened up which also display
the geometric aspects in multi dimensions.
General
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